In need of help. (1 Viewer)

Glorious

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Okay, this is a motion question and i never seem to understand it. For example, ive got a question here that asks to determine the time at which the particle is furthest from the origin in the v-t graph. What do we do/look for in the graph? There are solutions written here for this specific quesion by my math teacher but i just dont get it. Also there are other questions that ask when it comes back to the origin... Is that taking the area underneath and top?
 
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To determine the time where the particle is furthest from the origin from the v-t graph, look at the area under the curve. If there is the most area under the curve from t=0 to another time where v=0, then this is where the particle is furthest from the origin.

When the particle comes back to the origin you must look at AREAS below and above the curve. These areas (above and below the t axis) must be equal in order for the particle to have come back to the origin.
 

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